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Finding the Third Proportional to 826,493 and 1,252,214

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Solution

The third proportional to 826,493 and 1,252,214 is: 1,897,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,493 : 1,252,214 = 1,252,214 : x
  2. Step 2: Convert to fraction form
    826,493/1,252,214 = 1,252,214/x
  3. Step 3: Cross multiply
    826,493x = 1,252,214 × 1,252,214
  4. Step 4: Simplify right side
    826,493x = 1,568,039,901,796
  5. Step 5: Solve for x
    x = 1,568,039,901,796/826,493
  6. Step 6: Final answer
    x = 1,897,221.03

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.